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82222217 = 71117232731
BaseRepresentation
bin1001110011010…
…01110010001001
312201201022200022
410321221302021
5132022102332
612054150225
72015606630
oct471516211
9181638608
1082222217
1142459850
1223652375
131405a9cc
14acc4517
157342212
hex4e69c89

82222217 has 32 divisors (see below), whose sum is σ = 113301504. Its totient is φ = 57657600.

The previous prime is 82222193. The next prime is 82222219. The reversal of 82222217 is 71222228.

It is not a de Polignac number, because 82222217 - 220 = 81173641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82222219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28742 + ... + 31472.

It is an arithmetic number, because the mean of its divisors is an integer number (3540672).

Almost surely, 282222217 is an apocalyptic number.

It is an amenable number.

82222217 is a deficient number, since it is larger than the sum of its proper divisors (31079287).

82222217 is a wasteful number, since it uses less digits than its factorization.

82222217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789.

The product of its digits is 1792, while the sum is 26.

The square root of 82222217 is about 9067.6467178646. The cubic root of 82222217 is about 434.8402408007.

It can be divided in two parts, 8222221 and 7, that added together give a palindrome (8222228).

The spelling of 82222217 in words is "eighty-two million, two hundred twenty-two thousand, two hundred seventeen".

Divisors: 1 7 11 17 23 77 119 161 187 253 391 1309 1771 2731 2737 4301 19117 30041 30107 46427 62813 210287 324989 439691 510697 690943 1067821 3574879 4836601 7474747 11746031 82222217